Tomas Godoy, Alfredo J. Guerin
Abstract:
We prove the existence of nonnegative nontrivial weak solutions to the problem
where
is a bounded domain in
.
A sufficient condition for the existence of a
continuous and strictly positive weak solution is also given, and the
uniqueness of such a solution is proved. We also prove a maximality property
for solutions that are positive a.e. in
.
Submitted March 8, 2016. Published July 13, 2016.
Math Subject Classifications: 35J75, 35D30, 35J20.
Key Words: Singular elliptic problem; variational problems; nonnegative solution;
positive solution; sub-supersolution.
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Tomas Godoy FaMAF, Universidad Nacional de Córdoba Ciudad Universitaria, 5000 Córdoba, Argentina email: tomasgodo@gmail.com | |
Alfredo J. Guerin FaMAF, Universidad Nacional de Córdoba Ciudad Universitaria, 5000 Córdoba, Argentina email: guerin.alfredojose@gmail.com |
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